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JEE Advanced 2017 Paper 2
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© examsnet.com
Question : 48
Total: 54
If
I
98
∑
k
=
1
∫
k
k
+
1
k
+
1
x
(
x
+
1
)
d
x
,then:
I
<
49
50
I
>
l
o
g
e
99
I
>
49
50
I
<
l
o
g
e
99
Validate
Solution:
k
=
1
,
2
,
−
98
k
≤
x
≤
k
+
1
1
x
+
1
≤
k
+
1
x
(
x
+
1
)
≤
1
x
k
+
1
∫
k
1
x
+
1
d
x
≤
k
+
1
∫
k
k
+
1
x
(
x
+
1
)
d
x
≤
d
x
l
n
(
k
+
2
k
+
1
)
≤
k
+
1
∫
k
k
+
1
x
(
x
+
1
)
d
x
≤
l
n
(
k
+
1
k
)
l
n
(
3
2
×
4
3
×
5
4
×
.
.
.
×
100
99
)
<
I
<
l
n
(
2
1
×
3
2
×
4
3
×
.
.
.
99
98
)
l
n
50
<
I
<
l
n
99
© examsnet.com
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